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Quantum Computing

Questions tagged [ising-model]

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For questions about the Ising model, which describes ferromagnetism in terms of interactions between nearest-neighbors in a lattice. Quantum computing may have some advantages in characterizing solutions to various Ising models.

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Say I have two interacting qubits A, B with the following simple Hamiltonian:$$H = H_A \otimes \mathbb{I}_B + \mathbb{I}_A \otimes H_B + V_{AB}$$where $V_{AB}$ is any interaction term (for example ...
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1answer
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I'd like to conduct an experiment that tests the following hypothesis: By knowing the Freeze-Out point in advance, if we ensure that our annealing pause intersects with the Freeze-Out point, then we ...
2votes
1answer
108views

A question that has been bugging my mind in quantum annealing is:Assume we have a QUBO matrix $Q_{ij}$ with non-zero non-diagonal elements which have different signs, that is $Q_{ij}<0$ for some $...
1vote
1answer
83views

I am reading from the paper of Utkarsh et al., Solving Vehicle Routing Problem Using Quantum Approximate Optimization Algorithm (arXiv).And I couldn't quite understand the notation to which the ...
0votes
0answers
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The ising model and qubo are equivalent and one can easily transform one into the other, i.e., we can related the ising parameters $h_i$ and $J_{ij}$ to qubo paramenters $q_{ij}$ and vice versa. ...
wzmumu's user avatar
4votes
3answers
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Combinatorial optimization is often mentioned as a potential application of quantum computers. One of the main paradigms here is to reduce combinatorial optimization to an Ising problem, which is ...
2votes
1answer
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I have recently been reading about simulating the dynamics of many body Hamiltonians by means of quantum computers and I am a bit confused about some terminology. I understand that if you are able to ...
1vote
1answer
127views

What's the idea?I'm trying to embed the prime factorization problem into the form of a PUBO. To do so, let $p$ and $q$ be two real positive numbers. We can represent these two numbers as binary ...
1vote
1answer
171views

In the quantum circuit model, we know how to handle error propagation if we implement a unitary $U'$, which is $\varepsilon$-close to the ideal unitary $U$ and a state $|\psi'\rangle$, which is also $\...
1vote
0answers
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This is a continuation of this question and I encourage you to read that as well.I'm trying to embed the prime factorization problem into the form of a QUBO. To do so, let $p$ and $q$ be two real ...
3votes
2answers
221views

I'm trying to reproduce a paper on Prime Factorization. This paper converts the problem into a QUBO form, which then we can map it to an Ising Minimizer. I've basically done everything, and I've ...
1vote
0answers
144views

While exploring the Hamiltonian of the x-y model within the framework of quantum mechanics, I encountered the following transformation using the Jordan-Wigner transformation (JWT):\begin{align}H_{xy}...
1vote
1answer
586views

I'm studying about the hybrid quantum algorithms and I have a question about the VQE and QAOA.It seems like QAOA is a part of VQE that use a certain ansatz for solving combinatorial optimization ...
William's user avatar
1vote
1answer
185views

I am reading the paper from Andrew Lucas, Ising formulations of many NP problems, and I am stuck with the formulation of the following Ising Hamiltonian:$$H = A \bigg( K - \sum_v x_v \bigg)^2 + B\...
1vote
1answer
154views

I am doing simulations of the toric code using the statistical mapping worked out by Preskill et al., Topological Quantum Memory, [arXiv:quant-ph/0110143], where we find the phase boundary of an Ising ...
JoJo P's user avatar

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